Ground state properties of4He,8Be,12C and16O nuclei in a new version of the Brueckner-Bethe-Goldstone method

A new model Hamiltonian and a new type of the Goldstone expansion is used for calculation of binding energies, r. m. s. radii and densities of⁴He,⁸Be,¹²C and¹⁶O nuclei. The model Hamiltonian suggested depends on few parameters, the Goldstone equation for the reaction matrix can be solved exactly, quickly and without computational difficulties. The results are promising.We would like to thank Z.Pluha and J.Blank for valuable discussions.We would like also to express our gratitude to DPhPE C. E. N. Saclay for the possibility to perform the major part of computations for this study.